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Finding the Fourth Proportional to 10,495.35, 15,738.30 and 3,097.26

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Solution

The fourth proportional to 10,495.35, 15,738.30 and 3,097.26 is: 4,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.35 : 15,738.30 = 3,097.26 : x
  2. Step 2: Convert to fraction form
    10,495.35/15,738.30 = 3,097.26/x
  3. Step 3: Cross multiply
    10,495.35x = 15,738.30 × 3,097.26
  4. Step 4: Simplify right side
    10,495.35x = 48,745,607.06
  5. Step 5: Solve for x
    x = 48,745,607.06/10,495.35
  6. Step 6: Final answer
    x = 4,644.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.